MisterTwister2955 MisterTwister2955
  • 23-12-2022
  • Mathematics
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The function g is defined by g(x)= 5/x −bx^2+1, where b is a constant. Find b, if the graph of g passes through the point (−2,10).

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sqdancefan
sqdancefan sqdancefan
  • 23-12-2022

Answer:

  b = -2.875

Step-by-step explanation:

You want the value of b such that (-2, 10) is a point on the graph of g(x)= 5/x −bx²+1.

Unknown

Fill in the given values and solve for b.

  g(-2) = 10

  5/(-2) -b(-2)² +1 = 10

  -2.5 -4b +1 = 10

  -4b = 11.5

  b = -11.5/4

  b = -2.875

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